A minor league baseball team plays 94 games in a season. if the team won 16 more than twice as many games as they lost, how many wins and losses did the team have?
The number of wins is 68 ad losses is 26.
How to compute the value?Let the number of losses = l
Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16
Total games = 94
Therefore we will add the equation
l + 16 + 2l = 94
3l + 16 = 94
3l = 94 - 16
3l = 78
Divide
l = 78/3
l = 26
Losses = 26
Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68
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Paulo comprou 60 maçãs e 24 laranjas. Ele pretende organizar essas frutas em embalagens plásticas. Em cada embalagem plástica ele colocará apenas um tipo de fruta e na maior quantidade possível, para que todas as embalagens fiquem com a mesma quantidade de frutas. Qual a quantidade de embalagens plásticas que Paulo irá precisar para organizar essas frutas? 7. 12. 84. 120.
Responder:
7
Explicação passo a passo:
Obtemos o maior fator comum de ambas as frutas:
Apple = 60
Laranja = 24
Fatores de:
60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 e 60
24 = 1, 2, 3, 4, 6, 12 e 24
O maior fator comum é 12
Por isso,
Número de malas necessárias para:
Maçãs = 60/12 = 5
Laranjas = 24/12 = 2
Total de sacos plásticos necessários = 5 + 2 = 7
A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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How to find the roots of a polynomial of degree 4.
Answer:
In this case, the factor that comes out is x=−3, so you would divide by (x+3). Repeat until you've reduced to a quadratic, and then use the quadratic formula to find the irrational coefficients (if any). Simple factorisation solves your problem. Hence the 4 roots are x=12,x=−3,x=2i and x=−2i.
How to find a constant from a graph.
Answer:
Answer below
Step-by-step explanation:
If you mean constant of proportianality, that is just basically the unit rate. If you have point on the graph, you probably want to write down their coordinates. once you do that you see if the line are going up right diagonally or left diagonally. once you do that, you going to want to take the y coordinate from the highest point on the graph and subtract the y from the lowest point on the graph. repeat for x. finally, put the y answer over the x over to create a fraction. if you can make it a whole number do that, but most teachers won't want you to convert it to a mixed number.
I hope I answered what you were actually asking for lol.
T/F?The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
This statement is False as the probability of intersection of two events is always less than the probability of union.
This assertion is untrue. Contrary to popular belief, the likelihood of two occurrences coming together is always higher than or on pair with the likelihood of them colliding.
The chance of two events A and B occurring together can be calculated using the following formula to see why:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)According to this equation, the probability of A and B joining together is equal to the total of their individual probabilities less the likelihood of their colliding.
When we rewrite this calculation and focus only on the likelihood of the intersection, we obtain:
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)Now it is clear that the probability of the intersection is determined by subtracting the probability of their union from the sum of the probabilities of A and B.
P(A) and P(B) are both less than or equal to P(A B), since probabilities can never be negative. P(A + B) is therefore less than or equal to twice P(A + B) when they are added together. Thus, it follows:
P(A) + P(B) - P(A ∪ B) ≤ P(A ∪ B)This indicates that, contrary to what the original statement implied, the probability of the intersection is not greater than or equal to the probability of the union.
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Find an equation for the hyperbola with foci (0,±5) and with asymptotes y=± 3/4 x.
The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:
y^2 / 25 - x^2 / a^2 = 1
where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.
Thus, the equation for the hyperbola is:
y^2 / 25 - x^2 / (400/9) = 1
or
9y^2 - 400x^2 = 900
The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.
To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.
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write 10 rational numbers between -1/3 and 1/3
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
Can Anyone please explain what linear equations are
Answer:
In mathematics, a linear equation is an equation that may be put in the form {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}} are the coefficients, which are often real numbers.
Step-by-step explanation:
______________________________ (three words) are a precise mathematical description of the semantics of an executing program.
Program State Model describes a precise mathematical description of the semantics of an executing program.
This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.
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6. The track at the park is a loop that covers a distance of m miles. Vlad
jogged 2 loops each on Tuesday and Thursday and 3 loops on Saturday.
On Sunday, Vlad jogged 10 miles. Write an expression in simplest form
that represents the total distance that Vlad jogged this week.
The distance covered by Vlad is (7m + 10) miles
Calculating distance:To calculate the total distance find the distance that is individually covered each day of the week. From that find the sum of all the distances to find the distance covered in a week.
Here we have
The track at the park is a loop that covers a distance of m miles.
Given that, Vlad jogged 2 loops each on Tuesday and Thursday and 3 loops on Saturday. On Sunday, Vlad jogged 10 miles.
The distance covered on Tuesday and Thursday = (2 + 2) = 4m miles
The distance covered on Saturday = 3m miles
The distance covered on Sunday = 10 miles
From the above information,
The distance covered by Vlad = (4m + 3m) miles + 10 mile
= (7m + 10) miles
Therefore,
The distance covered by Vlad is (7m + 10) miles
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2 plus 4 multiplied by negative 6 minus 3 multiplied by 5
A basketball team plays three games during a tournament. They score fewer than 150 points in all 3 games combined. The total of points the team scores is 50 more than twice the number of points scored in game 1. Write an inequality that can be used to find p, the number of points the team could have scored in game 1.
The solution is :
Team A scored 261 points.
Team B scored 85 points.
Team C scored 130 points.
Given that,
team A scored 6 more points than 3 times as points as time B.
It means
A scored = 3 times of B scored +6
Team C scored 45 more than team B scored.
Team C scored=Team B scored + 45
Let team B scored x points.
Team A scored= 3x+6
Team C scored=x+46
The combined scores for all three team was 476 points.
Team A scored+Team B scored+Team C scored= 476
⇒3x+6+x+x+45 =476
⇒5x+51=476
⇒5x=476-51
⇒5x=425
⇒x=85
Team B scored 85 points
Team A scored (3×85)+6=261 points
Team C scored (85+45)=130 points.
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complete question:
In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three was 476 points. Which statement about the number of points is true
PLEASE HELP!!!!!!!!!!
Answer:
3
Step-by-step explanation:
Solve the equation for X 3(2x - 3) = 7 - 2x
Answer:
x = 2.
Step-by-step explanation:
Start by distributing the 3 to what is in the parentheses.
3 times 2x = 6x.
3 times -3 = -9.
So now you have:
6x - 9 = 7 - 2x.
You want to get the x variables on one side.
So add the 2x to both sides.
8x - 9 = 7.
You want to get x by itself.
So add 9 to both sides.
8x = 16.
x = 2.
when researching a population where it is impossible or impractical to compile a list of the elements, which sampling technique is appropriate to use?
When researching a population where it is impossible or impractical to compile a list of the elements, the sampling technique that is appropriate to use is known as the cluster sampling technique
Cluster sampling is a type of probability sampling that is frequently used when the population is too large to be measured as a whole. The population is divided into smaller, more manageable clusters that are less difficult to study than the entire population.Therefore, cluster sampling is an excellent alternative when the target population cannot be measured because it is too large, too vast, or too hard to reach. In this technique, clusters are chosen by a random process or some other procedure.The final sampling method is achieved by selecting samples from within the clusters, which are frequently chosen using simple random sampling or some other appropriate method. When it comes to cluster sampling, it's important to remember that the clusters chosen must be heterogeneous internally but homogeneous externally.
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Given that (square root on them )a b*2 − c = 5k
find ________
a) the value of ‘k’ when a = 3, b = 6 and c = 20
b) the value of ‘c’ when a = 4, b = 7 and k = 11
In the expression, the values are:
a) k = 2.4
b) c = -141.0625
How to find the value of k in the expression?
We have the expression:
a√(b² − c) = 5k
a)For the value of ‘k’ when a = 3, b = 6 and c = 20, we have:
a√(b² − c) = 5k
3√(6² − 20) = 5k (solve for k)
3√(36 − 20) = 5k
3√(16) = 5k
3*4 = 5k
12 = 5k
k = 12/5
k = 2.4
b) For the value of ‘c’ when a = 4, b = 7 and k = 11, we have:
a√(b² − c) = 5k
4√(7² − c) = 5*11 (solve for c)
4√(49 − c) = 55
√(49 − c) = 55/4
√(49 − c) = 13.75
49 − c = 13.75²
49 - c = 189.0625
c = 49 - 189.0625
c = -141.0625
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Determine if the following sequences are geometric.
(a) \( 4,8,16,32, \ldots \) (b) \( 1,-2,3,-4, \ldots \) (c) \( -27,-9,-3,-1, \ldots \) (d) \( \frac{1}{3}, \frac{1}{2}, \frac{3}{4}, \frac{9}{8}, \ldots \) (e) \( 4,8,12,16, \ldots \) (f) \( 1, \sqrt{3}, 3, 3\sqrt{3}, 9,.............
A sequence is said to be a geometric sequence if and only if the ratio of successive terms in the sequence is constant, that is for any non-zero terms a, b, and c, if b - a = c - b, then the sequence is a geometric sequence. Using the above condition, we can determine whether the given sequences are geometric or not.
(a) 4, 8, 16, 32, ...,The ratio of successive terms is 8/4=2, 16/8=2, 32/16=2, so the given sequence is a geometric sequence.
(b) 1, -2, 3, -4, ...,The ratio of successive terms is -2/1=-2, 3/-2=-1.5, -4/3=-1.3333..., hence the given sequence is not a geometric sequence.
(c) -27, -9, -3, -1, ...,The ratio of successive terms is -9/-27=1/3, -3/-9=1/3, -1/-3=1/3, thus the given sequence is a geometric sequence.
(d) 1/3, 1/2, 3/4, 9/8, ...The ratio of successive terms is (1/2)/(1/3)=3/2, (3/4)/(1/2)=3/2, (9/8)/(3/4)=3/2, thus the given sequence is a geometric sequence.
(e) 4, 8, 12, 16, ...,The ratio of successive terms is 8/4=2, 12/8=1.5, 16/12=1.3333..., hence the given sequence is not a geometric sequence.
(f) 1, √3, 3, 3√3, 9, ...We observe that the ratio of the second term to the first term is √3/1, the ratio of the third term to the second term is 3/√3 = √3, the ratio of the fourth term to the third term is 3√3/3 = √3, so the given sequence is a geometric sequence.
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write the equation for a line that goes through the points 0,7 and 9,2
100 points please answer
Answer:
y=-5/9x+7
Step-by-step explanation:
1. Use the two points and plug them into the slope formula to figure out the slope.
y2-y1/x2-x1
2-7/9-0 = -5/9
2. Pick one of the coordinates and use the x and y points and the slope to put them into point-slope form
y-y1=m(x-x1)
y-7=-5/9(x-0)
3. Distribute and simplify.
y-7=-5/9x-0
y=-5/9x+7
how many liters of oil are recquired to supply the electricalenergy needs of an average home for a year?
Approximately 897 liters of oil would be required to supply the electrical energy needs of an average home for a year. Keep in mind that this is a rough estimate, as factors like energy consumption and power plant efficiency can vary.
To answer your question, we need to consider a few factors such as the size of the home and the energy consumption of the household. However, on average, a household consumes around 10,000 kilowatt-hours (kWh) of electricity per year. If we convert this into liters of oil, we can use a conversion factor of 0.2778 liters of oil per kWh. Therefore, an average household would require around 2,778 liters of oil per year to supply their electrical energy needs.
It is important to note that this is just an estimate and the actual amount of oil required may vary depending on various factors such as the efficiency of the heating system and the energy usage habits of the household. It is also worth considering alternative energy sources such as solar or wind power, which can reduce the dependence on oil and lower the carbon footprint of the household.
In conclusion, an average household would require approximately 2,778 liters of oil to supply their electrical energy needs for a year. However, it is important to explore alternative energy sources and implement energy-saving measures to reduce the reliance on oil and minimize environmental impact.
The number of liters of oil required to supply the electrical energy needs of an average home for a year depends on the home's energy consumption and the efficiency of the power plant converting the oil into electricity. On average, a US household consumes about 10,649 kilowatt-hours (kWh) of electricity per year.
A typical oil-fired power plant can produce around 1,885 kWh of electricity from one barrel (159 liters) of oil, with an efficiency rate of around 33%. To calculate the number of liters needed for a year, we can use the formula:
(Number of kWh per year) / (kWh per liter of oil) = Liters of oil needed
First, let's find the kWh per liter of oil: 1,885 kWh/barrel * (1 barrel/159 liters) ≈ 11.86 kWh/liter
Now we can calculate the liters of oil needed: 10,649 kWh/year / 11.86 kWh/liter ≈ 897 liters/year
So, approximately 897 liters of oil would be required to supply the electrical energy needs of an average home for a year. Keep in mind that this is a rough estimate, as factors like energy consumption and power plant efficiency can vary.
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a point whose coordinates are both integers is called a lattice point. how many lattice points lie on the hyperbola x^2-y^2
The number of lattice points that lie on the hyperbola x^2-y^2 are 2 times the number of integers between 0 and the maximum y value.
The coordinates of a point on a graph can be described as integers, also known as lattice points.
To find out how many lattice points are on the hyperbola x^2 - y^2,
we can calculate the number of points that satisfy the equation.
To do this, we can set the equation equal to 0 and solve for x and y. Doing this, we can find that the equation has two solutions:
(x,y) = (sqrt(y^2),y) and (x,y) = (-sqrt(y^2),y).
Since there are two solutions for every y value, this means that the number of lattice points on the hyperbola is equal to twice the number of y values.
Therefore, the number of lattice points on the hyperbola is 2 times the number of integers between 0 and the maximum y value.
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Kamogelo walks 1.25 km in 25 minutes and Masego walks 1.44 km in 30 minutes. If these are
their travelling times and distance to school then, who walks faster.
Answer:
Kamogelo walks Faster
Step-by-step explanation:
1.25 km is less distant and in twenty five minutes it is fast enough.
The radius of a circle is 5 centimeters. What is the angle measure of an arc bounding a sector
with area 10л square centimeters?
The angle measure of an arc bounding the sector, is 200°
What is circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given that, a circle with radius 5 cm and area of a sector is 10π cm², we need to find the angle measure of an arc bounding the sector,
The area of a sector of a circle = θ / 360° ×2π×radius²
Where, θ is the central angles
Therefore,
10π = θ / 360° ×2π×3²
5 = θ / 40°
θ = 200°
Hence, the angle measure of an arc bounding the sector, is 200°
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Mike knows that (3,6.5) and (4,17.55) are points on the graph of an exponential function, g(x), and
he wants to find another point on the graph of this function.
First, he subtracts 6.5 from 17.55 to get 11.05.
Next, he adds 11.05 and 17.55 to get 28.6.
He states that (5,28.6) is a point on g(x).
Is he correct? Explain your reasoning.
Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
How to determine if he is correct?The points are given as:
(3,6.5) and (4,17.55)
Calculate the rate of change using:
r = y4/y3
This means that:
r = 17.55/6.5
r = 2.7
So, the next point on the graph is:
Next point = 2.7 * y4
Substitute 17.55 for y4
Next point = 2.7 * 17.55
Evaluate
Next point = 47.39
This means that the next point on the graph is (5,47.99)
Hence, Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
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Plot 213, −56, and −312 on the number line.
Answer:
Step-by-step explanation:
Plot 213, −56, and −312 on the number line.
NEED ANSWER ASAP PLEASE. Which line is AC NOT a transversal to?
Α) ΜΑ
B) NB
C) MN
D) PC
Answer:
Option C is correct.Step-by-step explanation:
A transversal is a line that is intersecting at 2 points. Let's verify all options to see which one is the odd one out.
__________________________________________________Option A
This line is a transversal to AC because it is intersecting in between AC. Hence, Option A is incorrect for this question.
__________________________________________________Option B
This line is also a transversal to AC because it is intersecting in between AC. Hence, Option B is incorrect for this question.
__________________________________________________Option C
This line is not a transversal because it is not intersecting AC. Hence, this will be the correct answer for this question.
__________________________________________________Option D
This line is a transversal because it is intersecting in between AC. Hence, Option D is incorrect for this question.
__________________________________________________After verifying all options, Option C is the most reasonable option. Hence, Option C is correct.
Hoped this helped.
\(BrainiacUser1357\)
usethe order of operation to find the value of each expresssion 3+7*6 divided by 3
Answer:
The value of the expression 3 + 7 * 6 ÷ 3 is 17
Step-by-step explanation:
To find the value of the expression 3 + 7 * 6 ÷ 3 using the order of operations (also known as PEMDAS/BODMAS), we follow these steps:
Perform the multiplication: 7 * 6 = 42.
Perform the division: 42 ÷ 3 = 14.
Add: 3 + 14 = 17.
Therefore, the value of the expression 3 + 7 * 6 ÷ 3 is 17.
Priya is signing a lease for a one bedroom apartment that rents for $469/month. How much will priya pay to move in if she must pay first and last months rent and a $506 security deposit? Round answer to a whole number.
Answer:
1444
Step-by-step explanation:
The marked price of a coffee table is $300. When it is sold at a discount of 35%, there is a loss of 2.5% on the cost price. Find a. the selling price of the table b. the cost price of the table
Answer:
a) $195; b) $200-----------------
The selling price is 35% less than the marked price, hence it is:
300 - 35% = 300(1 - 0.35) = 300*(0.65) = 195$195 is 2.5% less than the cost, hence the cost is:
cost - 2.5% = 195cost *(1 - 0.025) = 195cost * 0.975 = 195cost = 195/0.975cost = 200two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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